How many ways can 10 books be arranged on a shelf so that a particular pair of books shall be always together?

arranged in 9P2 ways. ∴ hence the total number of arrangements = 8!

How many ways can 10 books be arranged on a shelf if one book is a bible and it must be on one end?

question_answer Answers(1) ways. ∴ hence the total number of arrangements = 9!

How many ways can 10 items be arranged?

There are 3,628,800 ways to arrange those letters. See explanation for details.

How many ways can 10 different beads be arranged to form a necklace?

Answer: This is called a cyclic permutation. The formula for this is simply (n-1)!/2, since all the beads are identical. Hence, the answer is 9!/2 = 362880/2 = 181440.

How many ways can 9 books be arranged on a shelf?

We know that the two books that are kept together can be arranged in two ways. So, we will get the total number of ways we can arrange the $9$ books. Hence, we can arrange the $9$ on a shelf in $40320\times 2=80640$ ways.

How many different ways can 10 students form a circle?

So the ten students can be arranged 9! or 362,880 ways. The number of ways to arrange items in a circle is (n-1)!.

How many ways can you arrange 10 books on a shelf?

Since there are 10 books which are to be arranged in a shelf, so the total number of ways to arrange 10 books are 10!. If we consider the pair of books as one book then the total arrangements would be 9!. Since the books in pair can permute among themselves, so the arrangements would now become 9!*2!.

How many ways can 2 particular books be arranged among themselves?

The 2 particular books can be arranged among themselves in 2! ways. Therefore, the number of ways of arranging 10 books such that 2 particular books are always together = 9!2! Therefore, the required number of ways = 10! – 9!2! = 9! (10 – 2) = 8 (9!)

How do you find the number of ways to have books together?

From that, subtract the number of ways where the English books are together. To determine the number of ways to have those 2 English books together, treat those 2 books as a single unit, which means you have a total of 6 units in that case, the 5 non-English books and the unit that contains 2 English books.

How many books can be arranged in 9p9 =9 ways?

If a particular pair of books must always be together, just tie these two books together and consider as a single book. Hence we can take total number of books as 9. These 9 books can be arranged in 9P9 =9! ways.